Atkin-Lehner |
2- 3- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
80850fl |
Isogeny class |
Conductor |
80850 |
Conductor |
∏ cp |
480 |
Product of Tamagawa factors cp |
deg |
1935360 |
Modular degree for the optimal curve |
Δ |
-1.5779136586752E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11+ -4 1 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-331388,204709392] |
[a1,a2,a3,a4,a6] |
Generators |
[592:14404:1] |
Generators of the group modulo torsion |
j |
-44681709625/175177728 |
j-invariant |
L |
12.068658024761 |
L(r)(E,1)/r! |
Ω |
0.19263329632524 |
Real period |
R |
0.13052280174463 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002352 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3234a1 80850dz1 |
Quadratic twists by: 5 -7 |